The unregulated and scattered pattern of urban footprints is termed as urban sprawl. Urban sprawl being a dynamic phenomenon is facing many uncertainties with respect to methods for studying its dynamism. The present study aims at quantifying the urban sprawl process in Dehradun Urban Agglomeration (DUA), India, based on two criteria, viz. urban built-up density and open space fragmentation. On the basis of these two criteria, six structural classes, viz. urban, suburban and rural built-up, urbanized open space, captured open space and rural open land, were delineated. The spatio-temporal variation of these structural classes provided the basis for defining the urban sprawl patterns, i.e. infill, extension and leapfrog. The results revealed that urbanization patterns in DUA valley shifted from leapfrog to extension and then to infill pattern. The study thus attempts to develop a model for objectively defining the process of urban sprawl.

中文翻译：

---

城市蔓延的定量空间模型及其在印度德拉敦城市群中的应用

城市足迹的不受管制和分散的模式被称为城市蔓延。城市蔓延是一种动态现象，在研究其动态性的方法方面面临着许多不确定性。本研究旨在量化印度德拉敦城市群 (DUA) 的城市扩张过程，基于两个标准，即。城市建成密度和开放空间碎片化。在这两个标准的基础上，六个结构类，即。划分了城市、郊区和农村建成区、城市化开放空间、捕获的开放空间和农村开放土地。这些结构类别的时空变化为定义城市扩张模式提供了基础，即填充、扩展和跳跃。结果表明，DUA河谷的城市化模式由跳跃式向延伸再向填充式转变。